Simplify :
(3x2)−3×(x9)23(3x^2)^{-3} \times (x^9)^{\dfrac{2}{3}}(3x2)−3×(x9)32
27 Likes
Simplifying the expression :
⇒(3x2)−3×(x9)23=(13x2)3×x9×23=127x6×x6=127.\Rightarrow (3x^2)^{-3} \times (x^9)^{\dfrac{2}{3}} = \Big(\dfrac{1}{3x^2}\Big)^3 \times x^{9 \times \dfrac{2}{3}} \\[1em] = \dfrac{1}{27x^6} \times x^6 \\[1em] = \dfrac{1}{27}.⇒(3x2)−3×(x9)32=(3x21)3×x9×32=27x61×x6=271.
Hence, (3x2)−3×(x9)23=127(3x^2)^{-3} \times (x^9)^{\dfrac{2}{3}} = \dfrac{1}{27}(3x2)−3×(x9)32=271.
Answered By
19 Likes
(a + b)-1.(a-1 + b-1)
5n+3−6×5n+19×5n−5n×22\dfrac{5^{n + 3} - 6 \times 5^{n + 1}}{9 \times 5^n - 5^n \times 2^2}9×5n−5n×225n+3−6×5n+1
Evaluate :
14+(0.01)−12−(27)23\sqrt{\dfrac{1}{4}} + (0.01)^{-\dfrac{1}{2}} - (27)^{\dfrac{2}{3}}41+(0.01)−21−(27)32
(278)23−(14)−2+50\Big(\dfrac{27}{8}\Big)^{\dfrac{2}{3}} - \Big(\dfrac{1}{4}\Big)^{-2} + 5^0(827)32−(41)−2+50
